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Finding the Fourth Proportional to 989.46, 1,365.90 and 711.09

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Solution

The fourth proportional to 989.46, 1,365.90 and 711.09 is: 981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.46 : 1,365.90 = 711.09 : x
  2. Step 2: Convert to fraction form
    989.46/1,365.90 = 711.09/x
  3. Step 3: Cross multiply
    989.46x = 1,365.90 × 711.09
  4. Step 4: Simplify right side
    989.46x = 971,277.83
  5. Step 5: Solve for x
    x = 971,277.83/989.46
  6. Step 6: Final answer
    x = 981.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.